A survey of two communities asked residents which candidate they supported for a local election. The survey data are shown in th
e relative frequency table.
What percentage of the Mountain View residents polled supported Olunloyo?
A. 18%
B. 30%
C. 37.5%
D. About 47%
What percentage of the Mountain View residents polled supported Olunloyo?
A. 18%
B. 30%
C. 37.5%
D. About 47%
1 answer:
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The exercise says that the life variable is measured in days, that is, it is a discrete distribution, this because it takes finite and punctual values, 21, 22, 23 days, etc., not 21 and a half days or 23 and a quarter days.
Now, the discrete uniform distribution assumes that the probability of each value it takes is equal.
In this case the distribution takes 15 values, from 15 to 29 including the extremes, so the probability of each value is =
, so the probability mass function will be:
With this we can calculate the probability that an insect, selected at random, lives more than 24 days, like this:
On the other hand, the expected life or average life in this distribution is calculated as follows: that this case is
= 22
Answer
A) The awakened life of the insect is 22 days
B) The probability that an insect, selected at random, lives more than 24 days is 1/3 = 0.33 = 33.3%